2008136448 has 216 divisors, whose sum is σ = 6324136000. Its totient is φ = 633775104.

The previous prime is 2008136443. The next prime is 2008136461. The reversal of 2008136448 is 8446318002.

2008136448 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 1 + 3 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×2008136448² = 8065223987572113408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2008136443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181103 + ... + 1182801.

Almost surely, 2^2008136448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008136448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162068000).

2008136448 is an abundant number, since it is smaller than the sum of its proper divisors (4315999552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2008136448 is an equidigital number, since it uses as much as digits as its factorization.

2008136448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2008136448 is about 44812.2354720226. The cubic root of 2008136448 is about 1261.6272852177.

The spelling of 2008136448 in words is "two billion, eight million, one hundred thirty-six thousand, four hundred forty-eight".